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Complex FIOs and composition of Toeplitz operators

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arxiv 2205.08649 v4 pith:OKRFDS6N submitted 2022-05-17 math.FA math.CV

Lewis Coburn , Michael Hitrik , Johannes Sjoestrand This is my paper · ORCID
classification math.FAmath.CV
keywords operatorstoeplitzcomplexcompositionbargmannconditionsdomainestablished
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We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of complex quadratic forms, from the point of view of Fourier integral operators in the complex domain. Sufficient conditions are established for the composition of two such operators to be a Toeplitz operator.

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